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Finding the Fourth Proportional to 1,544.75, 2,316.90 and 570.68

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Solution

The fourth proportional to 1,544.75, 2,316.90 and 570.68 is: 855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.75 : 2,316.90 = 570.68 : x
  2. Step 2: Convert to fraction form
    1,544.75/2,316.90 = 570.68/x
  3. Step 3: Cross multiply
    1,544.75x = 2,316.90 × 570.68
  4. Step 4: Simplify right side
    1,544.75x = 1,322,208.49
  5. Step 5: Solve for x
    x = 1,322,208.49/1,544.75
  6. Step 6: Final answer
    x = 855.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.